Helmut Hasse's Books

On the Class Number of Abelian Number Fields

Extended with Tables by Ken-ichi Yoshino and Mikihito Hirabayashi

By: Helmut Hasse

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On the Class Number of Abelian Number Fields

Extended with Tables by Ken-ichi Yoshino and Mikihito Hirabayashi

By: Helmut Hasse

With this translation, the classic monograph Über die Klassenzahl abelscher Zahlkörper by Helmut Hasse is now available in English for the first time. The book addresses three main topics: class number formulas for abelian number fields; expressions of the class number of real abelian number fields by the index of the subgroup generated by cyclotomic units; and the Hasse unit index of imaginary abelian number fields, the integrality of the relative class number formula, and the class number parity. Additionally, the book includes reprints of works by Ken-ichi Yoshino and Mikihito Hirabayashi, which extend the tables of Hasse unit indices and the relative class numbers to imaginary abelian number fields with conductor up to 100. The text provides systematic and practical methods for deriving class number formulas, determining the unit index and calculating the class number of abelian number fields. A wealth of illustrative examples, together with corrections and remarks on the original work, make this translation a valuable resource for today’s students of and researchers in number theory.

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Page Count

394

Publisher

Springer

Published Date

ISBN 10

3030015122

ISBN 13

9783030015121

Algebraic Number Theory

By: H. Koch,Helmut Koch

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Algebraic Number Theory

By: H. Koch,Helmut Koch

From the reviews of the first printing, published as Volume 62 of the Encyclopaedia of Mathematical Sciences: "... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 "... Koch's book is written mostly for non-specialists. It is an up-to-date account of the subject dealing with mostly general questions. Special results appear only as illustrating examples for the general features of the theory. It is supposed that the reader has good general background in the fields of modern (abstract) algebra and elementary number theory. We recommend this volume mainly to graduate studens and research mathematicians." Acta Scientiarum Mathematicarum, 1993

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Page Count

280

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540630031

ISBN 13

9783540630036

A Concise Encyclopedia of the United Nations

By: Helmut Volger

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A Concise Encyclopedia of the United Nations

By: Helmut Volger

This English edition of the German "Lexikon der Vereinten Nationen" provides concise and comprehensive information not only about the structure of the UN system, its goals and functions, but about recent developments and reform efforts in the face of global opportunities and challenges. The contributing authors are academic scholars of international law, economics and political sciences; active and former diplomats and UN officials; journalists and members of non-governmental organizations (NGOs), and offer a variety of interesting perspectives. The entries are provided with Internet addresses for further information and are supplemented in the annex with a trilingual list (English-French-German) of the most important institutions and items of the official terminology and a list of information facilities concerning the UN. Readership: scholars and students of international law, international economics and political sciences, teachers, journalists, diplomats and politicians in the parliaments of the UN member states. "This new encyclopedia on the United Nations is a welcome addition to the works of academic research and political analysis covering the organization, its complex goals in the post-cold war era, and its ever broader role in the new millennium. While taking stock of more than half a century's achievements and setbacks, the encyclopedia also reflects the many ways in which the United Nations touches the lives of people everywhere." from the Preface by UN Secretary-General Kofi Annan

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Page Count

826

Publisher

BRILL

Published Date

ISBN 10

9004481206

ISBN 13

9789004481206

Number Theory

Algebraic Numbers and Functions

By: Helmut Koch

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Number Theory

Algebraic Numbers and Functions

By: Helmut Koch

Algebraic number theory is one of the most refined creations in mathematics. It has been developed by some of the leading mathematicians of this and previous centuries. The primary goal of this book is to present the essential elements of algebraic number theory, including the theory of normal extensions up through a glimpse of class field theory. Following the example set for us by Kronecker, Weber, Hilbert and Artin, algebraic functions are handled here on an equal footing with algebraic numbers. This is done on the one hand to demonstrate the analogy between number fields and function fields, which is especially clear in the case where the ground field is a finite field. On the other hand, in this way one obtains an introduction to the theory of 'higher congruences' as an important element of 'arithmetic geometry'. Early chapters discuss topics in elementary number theory, such as Minkowski's geometry of numbers, public-key cryptography and a short proof of the Prime Number Theorem, following Newman and Zagier. Next, some of the tools of algebraic number theory are introduced, such as ideals, discriminants and valuations. These results are then applied to obtain results about function fields, including a proof of the Riemann-Roch Theorem and, as an application of cyclotomic fields, a proof of the first case of Fermat's Last Theorem. There are a detailed exposition of the theory of Hecke $L$-series, following Tate, and explicit applications to number theory, such as the Generalized Riemann Hypothesis. Chapter 9 brings together the earlier material through the study of quadratic number fields. Finally, Chapter 10 gives an introduction to class field theory. The book attempts as much as possible to give simple proofs. It can be used by a beginner in algebraic number theory who wishes to see some of the true power and depth of the subject. The book is suitable for two one-semester courses, with the first four chapters serving to develop the basic material. Chapters 6 through 9 could be used on their own as a second semester course.

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Page Count

390

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821820540

ISBN 13

9780821820544

German Nationalism and Religious Conflict

Culture, Ideology, Politics, 1870-1914

By: Helmut Walser Smith

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German Nationalism and Religious Conflict

Culture, Ideology, Politics, 1870-1914

By: Helmut Walser Smith

The German Empire of 1871, although unified politically, remained deeply divided along religious lines. In German Nationalism and Religious Conflict, Helmut Walser Smith offers the first social, cultural, and political history of this division. He argues that Protestants and Catholics lived in different worlds, separated by an "invisible boundary" of culture, defined as a community of meaning. As these worlds came into contact, they also came into conflict. Smith explores the local as well as the national dimensions of this conflict, illuminating for the first time the history of the Protestant League as well as the dilemmas involved in Catholic integration into a national culture defined primarily by Protestantism. The author places religious conflict within the wider context of nation-building and nationalism. The ongoing conflict, conditioned by a long history of mutual intolerance, was an integral part of the jagged and complex process by which Germany became a modern, secular, increasingly integrated nation. Consequently, religious conflict also influenced the construction of German national identity and the expression of German nationalism. Smith contends that in this religiously divided society, German nationalism did not simply smooth over tensions between two religious groups, but rather provided them with a new vocabulary for articulating their differences. Nationalism, therefore, served as much to divide as to unite German society. Originally published in 1995. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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287

Publisher

Princeton University Press

Published Date

ISBN 10

1400863899

ISBN 13

9781400863891

The Physics of Warm Nuclei

with Analogies to Mesoscopic Systems

By: Helmut Hofmann

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The Physics of Warm Nuclei

with Analogies to Mesoscopic Systems

By: Helmut Hofmann

This book offers a comprehensive survey of basic elements of nuclear dynamics at low energies and discusses similarities to mesoscopic systems. It addresses systems with finite excitations of their internal degrees of freedom, so that their collective motion exhibits features typical for transport processes in small and isolated systems. The importance of quantum aspects is examined with respect to both the microscopic damping mechanism and the nature of the transport equations. The latter must account for the fact that the collective motion is self-sustained. This implies highly nonlinear couplings between internal and collective degrees of freedom —- different to assumptions made in treatments known in the literature. A critical discussion of the use of thermal concepts is presented. The book can be considered self-contained. It presents existing models, theories and theoretical tools, both from nuclear physics and other fields, which are relevant to an understanding of the observed physical phenomena.

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Page Count

648

Publisher

OUP Oxford

Published Date

ISBN 10

0191523062

ISBN 13

9780191523069

Mesocrystals and Nonclassical Crystallization

By: Helmut Cöelfen,Markus Antonietti

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Mesocrystals and Nonclassical Crystallization

By: Helmut Cöelfen,Markus Antonietti

Through both explanation and discussion, this title presents a complete review into mesocrystals, and accurately describes this relatively new study of established materials. This book also provides an introduction to other areas of crystallisation including self-assembly, classical crystallisation and colloidal crystals. Key features: Description of crystals as well as their formation processes and ways to modify them. Examines new ways towards the design of new materials and aids comprehension of the building principles of biominerals. Helps to explain many unusual observations made in the study of crystallisation. Written by the professionals in this subject ‘Mesocrystals: New Self-Assembled Structures’ outlines the future potential of this topic within a variety of disciplines including engineering science, physics and chemistry, making it a versatile and valuable text.

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288

Publisher

John Wiley & Sons

Published Date

ISBN 10

0470994592

ISBN 13

9780470994597

Porous Semiconductors

Optical Properties and Applications

By: Vladimir Kochergin,Helmut Föll

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Porous Semiconductors

Optical Properties and Applications

By: Vladimir Kochergin,Helmut Föll

Porous Semiconductors: Optical Properties and Applications provides an examination of porous semiconductor materials. Beginning with a description of the basic electrochemistry of porous semiconductors and the different kinds of porous semiconductor materials that can be fabricated, the book moves on to describe the fabrication processes used in the production of porous semiconductor optical components. Concluding the text, a number of optical components based on porous semiconductor materials are discussed in depth. Porous Semiconductors: Optical Properties and Applications provides a thorough grounding in the design, fabrication and theory behind the optical applications of porous semiconductor materials for graduate and undergraduate students interested in optics, photonics, MEMS, and material science. The book is also a valuable reference for scientists, researchers, and engineers in the field of optics and materials science.

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211

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1848825781

ISBN 13

9781848825789

Introduction to Classical Mathematics I

From the Quadratic Reciprocity Law to the Uniformization Theorem

By: Helmut Koch

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Introduction to Classical Mathematics I

From the Quadratic Reciprocity Law to the Uniformization Theorem

By: Helmut Koch

6Et moi, ..., si j'avait su comment en revenir, One service mathematics has rendered the human mce. It has put common sense back je n'y serais point alle.' Jules Verne where it belongs, on the topmost shelf nCllt to the dusty canister labelled 'discarded non sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

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482

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0792312317

ISBN 13

9780792312314

Sociological Aspects of Modern Sports

By: Helmut Digel

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Sociological Aspects of Modern Sports

By: Helmut Digel

Includes articles on social change and sports development including the problem of doping and the responsibility of science, talent identification and promotion, the Olympic uideal and reality, the athletes' village, the development of world athletics, and what makes athletics valuable.

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Page Count

330

Publisher

Meyer & Meyer Verlag

Published Date

ISBN 10

1841263575

ISBN 13

9781841263571

Justice For All Die Warheit Über Metallica

By: Joel McIver,Helmut Müller

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Justice For All Die Warheit Über Metallica

By: Joel McIver,Helmut Müller

Joel McIver erzählt mit akribischer Genauigkeit Metallicas Geschichte, enthüllt die Mythen, die seit Jahren mit der Band umgeben und verrät die ungeschminkte Wahrheit über seine Entstehung und seine Entwicklung. Fangen Sie an mit den frühen Jahren mit den volltrunkenen Club-Gigs und endlosen Tourneen in glorreichen Tage bis zu ihrem berühmten Prozess mit Napster und der obligatorischen Rehabilitierung und Analyse - hier ist die echte Metallica-Story.Durch Interviews mit mehr als 75 bekannten Musik Produzenten, Autoren, Bandkollegen und Familienmitgliedern kristallisiert McIver heraus, was in Metallicas unverwüstlicher Welt musikalischer Exzesse wirklich vor sich ging.

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532

Publisher

Bosworth Music

Published Date

ISBN 10

0857128329

ISBN 13

9780857128324

Galois Theory of p-Extensions

By: Helmut Koch

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Galois Theory of p-Extensions

By: Helmut Koch

Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the recent development of the field written by H. Koch and F. Lemmermeyer, along with many additional recent references.

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Page Count

196

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662049678

ISBN 13

9783662049679

Dark Money in Dar es Salaam

A Novel about Love and Corruption

By: Helmut Zell

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Dark Money in Dar es Salaam

A Novel about Love and Corruption

By: Helmut Zell

Pauls doesn ́t expect what ́s coming when he takes a consulting job for the rehabilitation of the Tanzanian railway. Soon after his arrival in Dar es Salaam, he realises that bribery was involved in the awarding of the contract. At the same time, he learns that the public prosecutor in Germany is carrying out investigations into alleged corruption cases involving the firm he works for. His refusal to play along with the corruption plot draws him ever deeper into the murky underworld of Tanzanian politics. He has hotel manager Vivien Chimagu on his side, but will he make it out alive?

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Page Count

322

Publisher

BoD – Books on Demand

Published Date

ISBN 10

3749496870

ISBN 13

9783749496877

Operations research handbook

Standard algorithms and methods with examples

By: Horst A. Eiselt,Helmut Frajer

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Operations research handbook

Standard algorithms and methods with examples

By: Horst A. Eiselt,Helmut Frajer

No detailed description available for "Operations research handbook".

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Page Count

400

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3111506975

ISBN 13

9783111506975

Introduction to Cryptography

Principles and Applications

By: Hans Delfs,Helmut Knebl

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Introduction to Cryptography

Principles and Applications

By: Hans Delfs,Helmut Knebl

The first part of this book covers the key concepts of cryptography on an undergraduate level, from encryption and digital signatures to cryptographic protocols. Essential techniques are demonstrated in protocols for key exchange, user identification, electronic elections and digital cash. In the second part, more advanced topics are addressed, such as the bit security of one-way functions and computationally perfect pseudorandom bit generators. The security of cryptographic schemes is a central topic. Typical examples of provably secure encryption and signature schemes and their security proofs are given. Though particular attention is given to the mathematical foundations, no special background in mathematics is presumed. The necessary algebra, number theory and probability theory are included in the appendix. Each chapter closes with a collection of exercises. In the second edition the authors added a complete description of the AES, an extended section on cryptographic hash functions, and new sections on random oracle proofs and public-key encryption schemes that are provably secure against adaptively-chosen-ciphertext attacks. The third edition is a further substantive extension, with new topics added, including: elliptic curve cryptography; Paillier encryption; quantum cryptography; the new SHA-3 standard for cryptographic hash functions; a considerably extended section on electronic elections and Internet voting; mix nets; and zero-knowledge proofs of shuffles. The book is appropriate for undergraduate and graduate students in computer science, mathematics, and engineering.

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Page Count

529

Publisher

Springer

Published Date

ISBN 10

3662479745

ISBN 13

9783662479742

Small Electric Motors

By: Helmut Moczala

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Small Electric Motors

By: Helmut Moczala

This book covers the various function principles of small motors, including rotating field machines, commutator machines, recent developments in the use of electronics in motors and the relationship between the motor and its driven load.

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Page Count

316

Publisher

IET

Published Date

ISBN 10

085296921X

ISBN 13

9780852969212

Representations of Algebras

Sixth International Conference, August 19-22, 1992, Ottawa, Ontario, Canada

By: Vlastimil Dlab,Helmut Lenzing

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Representations of Algebras

Sixth International Conference, August 19-22, 1992, Ottawa, Ontario, Canada

By: Vlastimil Dlab,Helmut Lenzing

The Sixth International Conference on Representations of Algebras was held at Carleton University in Ottawa, Canada, in August 1992. This refereed volume contains papers presented at the conference, as well as a number of papers submitted after the conference. Describing developments at the forefront of the field, this book will be of interest to algebraists working in the field of representation theory.

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Page Count

508

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821860194

ISBN 13

9780821860199

Emil Artin and Helmut Hasse

By: Emil Artin,Helmut Hasse,Günther Frei,Peter Roquette,Franz Lemmermeyer

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Emil Artin and Helmut Hasse

By: Emil Artin,Helmut Hasse,Günther Frei,Peter Roquette,Franz Lemmermeyer

This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 1923-1934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin's letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin's L-series and his reciprocity law towards Hasse‘s norm symbol, local class field theory and the Local-Global Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a follow-up of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse's mathematical letters and notes contained in the Göttingen Handschriftenabteilung.

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Page Count

502

Publisher

Universitätsverlag Göttingen

Published Date

ISBN 10

3940344508

ISBN 13

9783940344502

Concise German Review Grammar

By: Jack Moeller,Helmut Liedloff

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Concise German Review Grammar

By: Jack Moeller,Helmut Liedloff

Moeller and Liedloff present a clear and concise overview of grammar that can be used with an intermediate reader or alone as a reference. This streamlined text uses English explanations and abundant charts and examples to help students reinforce grammatical concepts.

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Page Count

354

Published Date

ISBN 10

0395688752

ISBN 13

9780395688755

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